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Finding the Third Proportional to 310,026,127 and 459,227,584

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Solution

The third proportional to 310,026,127 and 459,227,584 is: 680,232,907.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,026,127 : 459,227,584 = 459,227,584 : x
  2. Step 2: Convert to fraction form
    310,026,127/459,227,584 = 459,227,584/x
  3. Step 3: Cross multiply
    310,026,127x = 459,227,584 × 459,227,584
  4. Step 4: Simplify right side
    310,026,127x = 210,889,973,906,477,056
  5. Step 5: Solve for x
    x = 210,889,973,906,477,056/310,026,127
  6. Step 6: Final answer
    x = 680,232,907.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.